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Finding the Third Proportional to 807,235,303.50 and 1,263,543,723.75

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Solution

The third proportional to 807,235,303.50 and 1,263,543,723.75 is: 1,977,791,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,235,303.50 : 1,263,543,723.75 = 1,263,543,723.75 : x
  2. Step 2: Convert to fraction form
    807,235,303.50/1,263,543,723.75 = 1,263,543,723.75/x
  3. Step 3: Cross multiply
    807,235,303.50x = 1,263,543,723.75 × 1,263,543,723.75
  4. Step 4: Simplify right side
    807,235,303.50x = 1,596,542,741,828,016,384
  5. Step 5: Solve for x
    x = 1,596,542,741,828,016,384/807,235,303.50
  6. Step 6: Final answer
    x = 1,977,791,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.